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Finding the Fourth Proportional to 827.67, 1,142.16 and 454.66

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Solution

The fourth proportional to 827.67, 1,142.16 and 454.66 is: 627.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.67 : 1,142.16 = 454.66 : x
  2. Step 2: Convert to fraction form
    827.67/1,142.16 = 454.66/x
  3. Step 3: Cross multiply
    827.67x = 1,142.16 × 454.66
  4. Step 4: Simplify right side
    827.67x = 519,294.47
  5. Step 5: Solve for x
    x = 519,294.47/827.67
  6. Step 6: Final answer
    x = 627.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.